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We consider the problem of generating periodic materials with deep models. While symmetry-aware molecule generation has been studied extensively, periodic materials possess different symmetries, which have not been completely captured by…

Machine Learning · Computer Science 2023-11-07 Youzhi Luo , Chengkai Liu , Shuiwang Ji

The application of generative models in crystal structure prediction (CSP) has gained significant attention. Conditional generation--particularly the generation of crystal structures with specified stability or other physical properties has…

Materials Science · Physics 2026-01-14 Takanori Ishii , Kaoru Hisama , Kohei Shinohara

Diffusion models are the standard toolkit for generative modelling of 3D atomic systems. However, for different types of atomic systems -- such as molecules and materials -- the generative processes are usually highly specific to the target…

Crystalline materials often exhibit a high level of symmetry. However, most generative models do not account for symmetry, but rather model each atom without any constraints on its position or element. We propose a generative model, Wyckoff…

Discovering new solid-state materials requires rapidly exploring the vast space of crystal structures and locating stable regions. Generating stable materials with desired properties and compositions is extremely difficult as we search for…

Machine Learning · Computer Science 2024-11-08 Tri Minh Nguyen , Sherif Abdulkader Tawfik , Truyen Tran , Sunil Gupta , Santu Rana , Svetha Venkatesh

Accelerated materials discovery is an urgent demand to drive advancements in fields such as energy conversion, storage, and catalysis. Property-directed generative design has emerged as a transformative approach for rapidly discovering new…

Crystal symmetry plays a fundamental role in determining its physical, chemical, and electronic properties such as electrical and thermal conductivity, optical and polarization behavior, and mechanical strength. Almost all known crystalline…

Generative design marks a significant data-driven advancement in the exploration of novel inorganic materials, which entails learning the symmetry equivalent to the crystal structure prediction (CSP) task and subsequent learning of their…

Materials Science · Physics 2024-03-22 Ruiming Zhu , Wei Nong , Shuya Yamazaki , Kedar Hippalgaonkar

Generative model for 2D materials has shown significant promise in accelerating the material discovery process. The stability and performance of these materials are strongly influenced by their underlying symmetry. However, existing…

Materials Science · Physics 2025-09-30 Shihang Xu , Shibing Chu , Rami Mrad , Zhejun Zhang , Zhelin Li , Runxian Jiao , Yuanping Chen

Accurate emulation of multi-scale physical systems governed by PDEs demands models that remain stable over long autoregressive rollouts while preserving fine-scale structures. Deterministic emulators produce overly-smoothed predictions,…

We propose SymDiff, a method for constructing equivariant diffusion models using the framework of stochastic symmetrisation. SymDiff resembles a learned data augmentation that is deployed at sampling time, and is lightweight,…

Machine Learning · Computer Science 2025-03-04 Leo Zhang , Kianoosh Ashouritaklimi , Yee Whye Teh , Rob Cornish

We introduce CrystalFormer, a transformer-based autoregressive model specifically designed for space group-controlled generation of crystalline materials. By explicitly incorporating space group symmetry, CrystalFormer greatly reduces the…

Materials Science · Physics 2025-09-29 Zhendong Cao , Xiaoshan Luo , Jian Lv , Lei Wang

We present a generative modeling framework for atomistic systems that combines score-based diffusion for atomic positions with a novel continuous-time discrete diffusion process for atomic types. This approach enables flexible and…

Computational Physics · Physics 2025-09-17 Nikolaj Rønne , Bjørk Hammer

Generating novel crystalline materials has the potential to lead to advancements in fields such as electronics, energy storage, and catalysis. The defining characteristic of crystals is their symmetry, which plays a central role in…

We introduce SynFormer, a generative modeling framework designed to efficiently explore and navigate synthesizable chemical space. Unlike traditional molecular generation approaches, we generate synthetic pathways for molecules to ensure…

Machine Learning · Computer Science 2024-10-07 Wenhao Gao , Shitong Luo , Connor W. Coley

Many recent flow-matching and diffusion-style generative models rely on auxiliary stochastic dynamics during training: a richer process is simulated to define conditional targets, but the auxiliary state is either intractable to sample at…

Machine Learning · Computer Science 2026-05-21 Lukas Billera , Hedwig Nora Nordlinder , Ben Murrell

The design of materials with tailored properties is crucial for technological progress. However, most deep generative models focus exclusively on perfectly ordered crystals, neglecting the important class of disordered materials. To address…

Machine Learning · Computer Science 2026-02-05 Liming Wu , Rui Jiao , Qi Li , Mingze Li , Songyou Li , Shifeng Jin , Wenbing Huang

Crystal structure prediction (CSP), which aims to predict the three-dimensional atomic arrangement of a crystal from its composition, is central to materials discovery and mechanistic understanding. However, given the composition in a unit…

Materials Science · Physics 2026-03-10 Shi Yin , Jinming Mu , Xudong Zhu , Linxin He

We suggest a new multi-modal algorithm for joint inference of paired structurally aligned samples with Rectified Flow models. While some existing methods propose a codependent generation process, they do not view the problem of joint…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Boyi Pang , Savva Ignatyev , Vladimir Ippolitov , Ramil Khafizov , Yurii Melnik , Oleg Voynov , Maksim Nakhodnov , Aibek Alanov , Xiaopeng Fan , Peter Wonka , Evgeny Burnaev

Diffusion-based generative models have reformed generative AI, and also enabled new capabilities in the science domain, e.g., fast generation of 3D structures of molecules. In such tasks, there is often a symmetry in the system, identifying…

Machine Learning · Computer Science 2026-05-15 Yixian Xu , Yusong Wang , Shengjie Luo , Kaiyuan Gao , Tianyu He , Di He , Chang Liu
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